Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks
Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks
Most systematic tables of data associated to ranks of elliptic curves order the curves by conductor. Recent developments, led by work of Bhargava and Shankar studying the average sizes of $n$ -Selmer groups, have given new upper bounds on the average algebraic rank in families of elliptic curves over $\mathbb{Q}$ …